# Drawing a tree diagram

• May 14th 2009, 08:49 PM
Jen48
Drawing a tree diagram
I understand the concept of how to do a tree diagram but when I went to do this one particular problem I was confused about how to draw it correctly. Here it is: Draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a die. I can't seem to figure out how to get started. I'm sure once I know what the first two branches are than I might be able to figure out the rest. I would really appreciate any help that anyone would be willing to give. Thanks in advance.
• May 14th 2009, 09:16 PM
Chop Suey
Quote:

Originally Posted by Jen48
I understand the concept of how to do a tree diagram but when I went to do this one particular problem I was confused about how to draw it correctly. Here it is: Draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a die. I can't seem to figure out how to get started. I'm sure once I know what the first two branches are than I might be able to figure out the rest. I would really appreciate any help that anyone would be willing to give. Thanks in advance.

Sample space of flipping a coin is {H, T}, where as sample space of tossing a die {1, 2, 3, 4, 5, 6}

Starting with the coin:

H: H1, H2, H3, H4, H5, H6

T: T1, T2, T3, T4, T5, T6
• May 14th 2009, 09:46 PM
Jen48
Thanks!

Can you let me know if I have this figured out right?

First two branches: Coin and dice
Coin:
Branch for H and T
From the H branch a branch for H1, H2 etc.
From the T branch a branch for T1, T2, etc.

Dice:
Branches for 1,2,3,4,5,6
Branches for 1T, 1H etc.
Branches for 2T, 2H etc.
Branches for 3T, 3H etc.
" " 4T, 4H, etc.
" " 5T, 5H etc.
" " 6T, 6H, etc.

Is this right? I appreciate your reply and would love it if you could let me know if I'm on the right track here. Thanks again! (Clapping)
• May 14th 2009, 11:52 PM
Chop Suey
Yes, you are very much on the right track. :)
• May 15th 2009, 04:28 AM
Jen48
Quote:

Originally Posted by Chop Suey
Yes, you are very much on the right track. :)

Thank you very much! (Happy)